2082281040 has 320 divisors, whose sum is σ = 8680158720. Its totient is φ = 447897600.

The previous prime is 2082281029. The next prime is 2082281051. The reversal of 2082281040 is 401822802.

It is an interprime number because it is at equal distance from previous prime (2082281029) and next prime (2082281051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2082280995 and 2082281013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252990 + ... + 261090.

It is an arithmetic number, because the mean of its divisors is an integer number (27125496).

Almost surely, 2^2082281040 is an apocalyptic number.

2082281040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340079360).

2082281040 is an abundant number, since it is smaller than the sum of its proper divisors (6597877680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2082281040 is a wasteful number, since it uses less digits than its factorization.

2082281040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2082281040 is about 45632.0177068689. The cubic root of 2082281040 is about 1276.9673158257.

The spelling of 2082281040 in words is "two billion, eighty-two million, two hundred eighty-one thousand, forty".